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Multiple Choice
Which of the following correctly balances the chemical equation for the reaction between Fe^{3+}(aq) and Sn(s) to produce Fe(s) and Sn^{2+}(aq)?
A
3Fe^{3+}(aq) + 2Sn(s) → 3Fe(s) + 2Sn^{2+}(aq)
B
2Fe^{3+}(aq) + 2Sn(s) → 2Fe(s) + 2Sn^{2+}(aq)
C
2Fe^{3+}(aq) + 3Sn(s) → 2Fe(s) + 3Sn^{2+}(aq)
D
Fe^{3+}(aq) + Sn(s) → Fe(s) + Sn^{2+}(aq)
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Verified step by step guidance
1
Identify the oxidation states of the elements involved in the reaction. Fe^{3+} is reduced to Fe(s), and Sn(s) is oxidized to Sn^{2+}.
Write the half-reactions for oxidation and reduction separately:
Reduction: \(\mathrm{Fe^{3+} + 3e^- \rightarrow Fe}\)
Oxidation: \(\mathrm{Sn \rightarrow Sn^{2+} + 2e^-}\)
Balance the electrons lost and gained by finding the least common multiple of electrons in both half-reactions. Here, multiply the reduction half-reaction by 2 and the oxidation half-reaction by 3 to balance electrons: